The incident involving Flight 731 occurred at an altitude of 34,000 feet Sunday night during a run from Seattle to Anchorage, the Anchorage Daily News reported.
Alaska Airlines spokesman Paul McElroy said there were no injuries among the 160 passengers aboard the Boeing 737-900.
Clint Johnson, Alaska region chief for the National Transportation Board, said the engine failure was "contained," meaning no parts were lost.
The cause of the engine failure had not been determined. The Boeing 737 is designed to be able to stay in the air with just one engine operating.
"We don't look only at what went wrong, but we also look at what went right, and the crew did what they were supposed to do, followed the procedures."McElroy said Monday afternoon.